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19 votes
0 answers
504 views

Other examples of computations using transfer of structure from the chains to the homology?

There is a `long' history of transfer (up to homotopy!) of algebraic structure from a dg _ algebra A to its homology H(A) (e.g. Kadeishvili for the associative case and Heubschmann for the Lie case). ...
Jim Stasheff's user avatar
  • 3,880
16 votes
1 answer
360 views

Moduli space of boundary maps with prescribed chain and homology groups?

Let $R$ be a reasonable ring (maybe I mean a PID, or $\mathbb{Z}$, and when sufficiently desperate, a field). Now consider fixed sequences $C_n$ and $H_n$ of $R$-modules, which are tame in every ...
Vidit Nanda's user avatar
  • 15.5k
12 votes
2 answers
990 views

A-infinity structure on the ribbon graph complex and more general graph complexes

Moduli spaces of curves (with nonempty boundary or at least one marked point) admit cell decompositions in which the cells are labelled by ribbon graphs. In fact, the moduli space of normalised ...
Jeffrey Giansiracusa's user avatar